Homework Clinic
Mathematics Clinic => Grade 11 and 12 Mathematics => Topic started by: melly21297 on Feb 28, 2021
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Solve the problem.
The strength S of a wooden beam with rectangular cross section is given by the formula
S = kd3 sin2 θ cos θ
where d is the diagonal length, θ the angle illustrated, and k is a constant that varies with the type of wood used.
Let d = 1 and express the strength S in terms of the constant k for θ = 45°, 50°, 55°, and 65°. Does the strength always increase as θ gets larger?
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0.354k; 0.377k; 0.385k; 0.375k and 0.347k; No, it reaches a maximum near 55°.